7.4 #54. The table below shows the probabilities of a person accumulating specific amounts of credit card charges over a 12-month period. Find the probabilities that a person’s total charges during the period are the following: (a) $500 or more (b) less than $1000 (c) $500 to $2999 (d) $3000 or more. (a) Let E = “total charges are $500 or more”. P(E)= 1–P(E’) = 1 – [0.31+0.18] = 0.51 OR P(E) = 0.18 + 0.13 + 0.08 + 0.05 + 0.06 + 0.1 =0.51 The probability that total charges are $500 or more is 51%. (b) Let E = “total charges are less than $1000”. P(E) = 0.31 + 0.18 + 0.18 = 0.67 The probability that total charges are less than $1000 is 67%. (c) Let E = “total charges are $500 to $2999”. P(E) = 0.18 + 0.13 + 0.08 = 0.39 The probability that total charges are $500 to $2999 is 39%. (d) Let E = “total charges are $3000 or more”. P(E) = 0.05 + 0.06 + 0.01 = 0.12 The probability that total charges are $3000 or more is 12%. 7.4 #64. The following data were gathered for 130 adult US workers: 55 were women, 3 women earned more than $40,000; and 62 men earned $40,000 or less. Find the probabilities that an individual is: (a) a woman earning $40,000 or less (b) a man earning more than $40,000 (c) a man or is earning more than $40,000 (d) a woman or is earning $40,000 or less. $40000 or less

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